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Schattierung in dynamischen Systemen: Theorie und Anwendungen (Mathematik und ihre - K.J. Palmer
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K.J. Palmer:

Schattierung in dynamischen Systemen: Theorie und Anwendungen (Mathematik und ihre - encadernado, livro de bolso

ISBN: 9780792361794

In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowi… mais…

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Shadowing in Dynamical Systems - Theory and Applications (MATHEMATICS AND ITS APPLICATIONS Volume 501) (Mathematics and Its Applications, 501) - Palmer, K.J.
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Palmer, K.J.:

Shadowing in Dynamical Systems - Theory and Applications (MATHEMATICS AND ITS APPLICATIONS Volume 501) (Mathematics and Its Applications, 501) - encadernado, livro de bolso

2000, ISBN: 9780792361794

Springer, Hardcover, Auflage: 2000, 316 Seiten, Publiziert: 2000-02-29T00:00:01Z, Produktgruppe: Book, 1.38 kg, Algorithms, Programming, Computers & Technology, Subjects, Books, Different… mais…

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Shadowing in Dynamical Systems: Theory and Applications - Palmer, K.J.
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Palmer, K.J.:
Shadowing in Dynamical Systems: Theory and Applications - novo libro

2000

ISBN: 9780792361794

Springer, Relié, Auflage: 2000 ed. 300 Seiten, Publiziert: 2000-02-29T00:00:01Z, Produktgruppe: Livre, 3.04 kg, Livres en anglais, Chercher au Coeur!, Boutiques, Livres, Livres anglais et… mais…

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K.J. Palmer:
Shadowing in Dynamical Systems Theory and Applications 501 Mathematics and Its Applications - Livro de bolso

2002, ISBN: 9780792361794

Softcover, PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from… mais…

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K.J. Palmer:
Shadowing in Dynamical Systems : Theory and Applications - encadernado, livro de bolso

2000, ISBN: 0792361792

[EAN: 9780792361794], Nouveau livre, [SC: 3.43], [PU: Springer], PRINT ON DEMAND Book; New; Fast Shipping from the UK., Books

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Shadowing in Dynamical Systems: Theory and Applications

In this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic phase property and also that the dynamics near a transversal homoclinic orbit is chaotic. It turns out that chaotic dynamical systems arising in practice are not quite hyperbolic. However, they possess enough hyperbolicity to enable us to use shadowing ideas to give computer-assisted proofs that computed orbits of such systems can be shadowed by true orbits for long periods of time, that they possess periodic orbits of long periods and that it is really true that they are chaotic. Audience: This book is intended primarily for research workers in dynamical systems but could also be used in an advanced graduate course taken by students familiar with calculus in Banach spaces and with the basic existence theory for ordinary differential equations.

Dados detalhados do livro - Shadowing in Dynamical Systems: Theory and Applications


EAN (ISBN-13): 9780792361794
ISBN (ISBN-10): 0792361792
Livro de capa dura
Livro de bolso
Ano de publicação: 2000
Editor/Editora: Springer
316 Páginas
Peso: 0,621 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-01-18T13:57:02+00:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-06-28T22:47:13+01:00 (Lisbon)
Número ISBN/EAN: 0792361792

Número ISBN - Ortografia alternativa:
0-7923-6179-2, 978-0-7923-6179-4
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: palmer
Título do livro: dynamical systems, shadowing


Dados da editora

Autor: K.J. Palmer
Título: Mathematics and Its Applications; Shadowing in Dynamical Systems - Theory and Applications
Editora: Springer; Springer US
300 Páginas
Ano de publicação: 2000-02-29
New York; NY; US
Língua: Inglês
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XIV, 300 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Manifold; Morphism; calculus; computer; dynamical systems; dynamische Systeme; equation; ordinary differential equation; proof; theorem; ordinary differential equations; Differential Equations; Numerical Analysis; Mathematics; Numerische Mathematik; Mathematik; BC

1 Hyperbolic Fixed Points of Diffeomorphisms and Their Stable and Unstable Manifolds.- 2 Hyperbolic Sets of Diffeomorphisms.- 3 Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets.- 4 The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms.- 5 Symbolic Dynamics Near a Transversal Homoclinic Point of a Diffeomorphism.- 6 Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asymptotic Phase.- 7 Hyperbolic Sets of Ordinary Differential Equations.- 8 Transversal Homoclinic Points and Hyperbolic Sets in Differential Equations.- 9 Shadowing Theorems for Hyperbolic Sets of Differential Equations.- 10 Symbolic Dynamics Near a Transversal Homoclinic Orbit of a System of Ordinary Differential Equations.- 11 Numerical Shadowing.- References.

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